Interplay between parallel and diagonal electronic nematic phases in interacting systems

Details Interplay between parallel and diagonal electronic nematic phases in interacting systems Interplay between parallel and diagonal electronic nematic phases in interacting systems

2006-01-13

arxiv.org/abs/cond-mat/0601300v1

Phys. Rev. B 73, 125117 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 10 figures

Scientific paper

10.1103/PhysRevB.73.125117

An electronic nematic phase can be classified by a spontaneously broken discrete rotational symmetry of a host lattice. In a square lattice, there are two distinct nematic phases. The parallel nematic phase breaks $x$ and $y$ symmetry, while the diagonal nematic phase breaks the diagonal $(x+y)$ and anti-diagonal $(x-y)$ symmetry. We investigate the interplay between the parallel and diagonal nematic orders using mean field theory. We found that the nematic phases compete with each other, while they coexist in a finite window of parameter space. The quantum critical point between the diagonal nematic and isotropic phases exists, and its location in a phase diagram depends on the topology of the Fermi surface. We discuss the implication of our results in the context of neutron scattering and Raman spectroscopy measurements on La$_{2-x}$Sr$_x$CuO$_4$.

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